For over an hour the game was very much in the balance, but defensive mistakes from the young Rovers' saw them lose out in the end at Rockliffe Park.
Middlesbrough started the stronger and took the lead on 20 minutes when a 'Boro forward was allowed to skip past two challenges before firing home from the edge of the box.
Rovers rallied and responded ten minutes later. Good play down the left flank between Modou Cham and Jack Doyle saw the ball crossed and Ian Vicars finished smartly for his first goal of the season.
Shortly afterwards the home side were reduced to ten men after a straight red card was issued.
The second half saw Rovers start brighly with Modou Cham and Dean Rittenberg going close, but David Lowe's side would be made to pay for poor finishing and defending as Middlesbrough scored two goals in quick succession to make it 3-1.
Substitute Sam Joel saw two opportunities go begging and with Rovers pressing for a way back into the game they were caught on the counter-attack as 'Boro bagged a late fourth goal.
"For an hour we played well and we were very much in the game," said Head of youth coaching David Lowe.
"But unfortunately we were made to pay for not putting away our chances and we fell for the sucker punch in pressing to score against ten men with Middlesbrough catching us on three occasions."
ROVERS: Raya, Wassi (sub Wall 75 mins), Butterwick, Lavelle, Doyle, Harris (sub Torres 60 mins), Brown, Vicars, Rittenberg, Cham (sub Joel 70 mins), Preston.
Sub not used: Scott.